Clocks – Questions, Tricks, Problems and Solutions
Problems on Clocks aptitude – General Questions Practice different types of aptitude test for free, including numerical and verbal tests. All questions come with worked solutions to help you improve.
Clocks aptitude Tricks
- Minute Spaces:The face or dial of watch is a circle whose circumference is divided into 60 equal parts, called minute spaces.Hour Hand and Minute Hand:A clock has two hands, the smaller one is called the hour hand or short hand while the larger one is called minute hand or long hand.
- In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand.
- In every hour, both the hands coincide once.
- The hands are in the same straight line when they are coincident or opposite to each other.
- When the two hands are at right angles, they are 15 minute spaces apart.
- When the hands are in opposite directions, they are 30 minute spaces apart.
- Angle traced by hour hand in 12 hrs = 360°
- Angle traced by minute hand in 60 min. = 360°.
- If a watch or a clock indicates 8.15, when the correct time is 8, it is said to be 15 minutes too fast.On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow.
Clock aptitude Formula
- Clock formula: 11/12. This is a very important point for solving aptitude questions on clocks.
- As minute hand covers one full circle i.e. 360 degrees in one hour, that means it travels 360/60 = 6 degrees/min.
- An hour hand covers one part of the 12 major parts of the circle which means it covers 360/12 = 30 degrees in one hour i.e. it travels 30/60 = 1/2 degree per min.
- Now, the relative speed of the minute hand is 6 – 1/2 = 11/2 or 5.5 degrees. This 11/2 degrees will be useful in finding the angle between the two hands of the clock.
- The complete circle has a total of 360 degrees and in terms of minute spaces, it has been divided into 60 minutes spaces, which means each minute space represents 360/60 = 6 degrees.
- The complete circle has been divided into 12 equal bigger units also, which we call as hours. This further implies that every hour space covers a total of 360/12 = 30 degrees.
- The hour hand and minute hand meet once every hour. But in a 12 hour period, they meet 11 times.
- There is one angle of 180 degrees in every hour i.e. both the hands are in the straight line in the opposite direction, but in a twelve hour period it happens 11 times.
- There are 2 right angles every hour, but in a 12 hour period there are 22 such angles.
- If the two hands are moving at the normal speeds, they should meet after every 65 5/11 min.
- Clock Aptitude Tricks -Short Cut – Between x and (x + 1) O’clock, the 2 hands will be ‘t’ min apart at (5x t) 12/11 past x.